A Database for Polynomials over the Rationals ...
www.iwr.uni-heidelberg.de/groups/compalg/minimum/minimum.html
Tables of Number Fields with Prescribed Ramification This site contains tables of number fields of low degree which are ramified at only a few small primes. Except where an entry is listed as preliminary , we believe the tables to be exhaustive. Check back since the number of tables will expand over time. If we fix a degree, n, and a finite set of primes, S, there are only finitely many fields ...
math.la.asu.edu/~jj/numberfields
Algorithmic (a.k.a. Computational) Number Theory: Tables, Links, etc. Tables of solutions and other information concerning Diophantine equations : Trinomials with unusual Galois groups (x5-5x2-3, x5-5x2+15, x7-7x+3, x8+324x+567, etc.) (Supporting computational data for Nils Bruin's theorem here) Data and results concerning the elliptic curves ny2=x3-x arising in the ``congruent number'' problem: ...
www.math.harvard.edu/~elkies/compnt.html
Tables of Fermat ``near-misses'': approximate solutions of xn + yn = zn in integers with 0 x = y z 223 and n in Tables from my paper ``Rational points near curves and small nonzero |x3-y2| via lattice reduction'', Lecture Notes in Computer Science 1838 (proceedings of ANTS-4, 2000; W.Bosma, ed.), 33-63 (math.NT/0005139 on the arXiv), extended from z 106 to z 223=8388608, and with the ...
www.math.harvard.edu/~elkies/ferm.html
R. Ernvall & T. Metsankyla: Tables of vanishing Fermat quotients These are tables of the pairs (p, k) such that the Fermat quotient q(k) = (k^{p-1}-1)/p vanishes mod p. Here p is an odd prime and k is an integer prime to p. The tables cover the primes p up to one million and, for each prime, the range 1 k p. The tables were computed in 1995 and their contents were analyzed and summarized in ...
users.utu.fi/taumets/fermat/fermat.htm
Tables of Values of Dedekind Zeta Functions Explanations about how the values are calculated. Riemann's Zeta Function. The totally real subfield of a cyclotomic field. Of roots of unity of order 5 Of roots of unity of order 7 Of roots of unity of order 8 Of roots of unity of order 11 Of roots of unity of order 12 Of roots of unity of order 13 Quadratic Fields. discriminant 5 discriminant 8 ...
www.math.mcgill.ca/goren/ZetaValues/zeta.html
www.newdream.net/~sage/old/numbers/primeodd.htm
Counts of twin prime pairs and Brun's constant to 3*10^15 Thomas R. Nicely http://www.trnicely.net trnicely*hotmail.com Copyright 2000-2002 Thomas R. Nicely. All rights reserved. This document may be reproduced and distributed for educational and non-profit purposes. Last updated 3 July 2002. The domain of the table consists of each decade from 10 through 10^12, then each 10^12 to 3*10^15.
www.trnicely.net/twins/tabpi2.html
Enumeration to 1.6 1015 of the twin primes and Brun's constant Thomas R. Nicely http://www.trnicely.net trnicely*hotmail.com Copyright 1999-2002 Thomas R. Nicely. All rights reserved. This document may be reproduced and distributed for educational and non-profit purposes. Date of first release 16 July 1999. Last modified 22 March 2002. Abstract Enumeration of the twin primes, and the sum ...
www.trnicely.net/twins/twins2.html
Factorization Tables Introduction As part of my research into multiperfect numbers and harmonic numbers, there is a need to have factorizations of the sum of divisor function, sigma(N). Since sigma(N) is a multiplicative function, the calculation of sigma(N) involves the calculation (or table look-up) of sigma() of appropriate prime powers. In particular the sigma() of small primes to large ...
www-staff.maths.uts.edu.au/~rons/fact/fact.htm
Tables of class numbers of imaginary quadratic fields Tables of imaginary quadratic fields with even class numbers Tables of imaginary quadratic fields with odd class numbers Last modified 17th July 2002 ...
www.numbertheory.org/classnos
